---
title: "PC.GSR.5: Conics and Polar Equations (Georgia Mathematics standard)"
code: PC.GSR.5
cite_as: Georgia Standards of Excellence, Mathematics, PC.GSR.5
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/PC.GSR.5
md_url: https://georgiahomeroom.org/standards/code/PC.GSR.5.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/PC.GSR.5.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# PC.GSR.5: Conics and Polar Equations

Analyze the behaviors of conic sections and polar equations to model contextual mathematical problems.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- Analyze conic sections using different representations.
  - **PC.GSR.5.1**: Identify and graph different conic sections given the equations in standard form.
  - **PC.GSR.5.2**: Identify different conic sections in general form and complete the square to convert the equation of a conic section into standard form.
- Extend trigonometry to the polar plane.
  - **PC.GSR.5.3**: Define polar coordinates and relate polar coordinates to Cartesian coordinates.
  - **PC.GSR.5.4**: Classify special polar equations and apply to contextual situations.
  - **PC.GSR.5.5**: Graph equations in the polar coordinate plane with and without the use of technology.

## Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.